5565 has 16 divisors (see below), whose sum is σ = 10368. Its totient is φ = 2496.

The previous prime is 5563. The next prime is 5569. The reversal of 5565 is 5655.

It can be divided in two parts, 556 and 5, that added together give a triangular number (561 = T_{33}).

5565 is a nontrivial binomial coefficient, being equal to C(106, 2).

It is not a de Polignac number, because 5565 - 2^{1} = 5563 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a Curzon number.

It is a plaindrome in base 16.

It is a congruent number.

It is an inconsummate number, since it does not exist a number *n* which divided by its sum of digits gives 5565.

It is not an unprimeable number, because it can be changed into a prime (5563) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 79 + ... + 131.

It is an arithmetic number, because the mean of its divisors is an integer number (648).

2^{5565} is an apocalyptic number.

5565 is the 105-th triangular number and also the 53-rd hexagonal number.

It is an amenable number.

5565 is a deficient number, since it is larger than the sum of its proper divisors (4803).

5565 is a wasteful number, since it uses less digits than its factorization.

5565 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 68.

The product of its digits is 750, while the sum is 21.

The square root of 5565 is about 74.5989276062. The cubic root of 5565 is about 17.7210066910.

The spelling of 5565 in words is "five thousand, five hundred sixty-five".

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